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task.cpp
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#include "api.hpp"
#include <string>
#include <iostream>
#include <set>
#include <map>
using namespace std;
void set_trains_and_del_duplet(DFA &d, map<pair<string, string>, string> &trains) {
for(auto state1 : d.get_states()) {
for(auto state2 : d.get_states()) {
set<string> jumps;
for(auto symbol : d.get_alphabet()) {
// cout << symbol << ' ' << state1 << ' ' << state2 << endl;
string s;
if (d.has_trans(state1, symbol) && d.get_trans(state1, symbol) == state2) {
s = symbol;
jumps.insert(s);
}
}
if (jumps.size() == 1) {
trains[make_pair(state1, state2)] = *jumps.begin();
} else if (jumps.size() > 1) {
string s = "";
for(auto symbol : jumps) {
if (s == "") {
s = symbol;
} else {
s = s + "|" + symbol;
}
}
trains[make_pair(state1, state2)] = s;
}
}
}
}
void exclusion(DFA &d, string &state, map<pair<string, string>, string> &trains){
string s = "";
if (trains.find(make_pair(state, state)) != trains.end()) {
s = trains[make_pair(state, state)];
}
for(auto train1 : trains) {
if (train1.first.second == state && train1.first.first != state) {
string q = train1.second;
for(auto train2 : trains) {
if (train2.first.first == state && train2.first.second != state) {
string p = train2.second;
if (trains.find(make_pair(train1.first.first, train2.first.second)) != trains.end()) {
if (s.size() > 1) {
trains[make_pair(train1.first.first, train2.first.second)] = trains[make_pair(train1.first.first, train2.first.second)] + "|(" + q + ")(" + s + ")*(" + p + ")";
} else if (s.size() == 1) {
trains[make_pair(train1.first.first, train2.first.second)] = trains[make_pair(train1.first.first, train2.first.second)] + "|(" + q + ")" + s + "*(" + p + ")";
} else {
trains[make_pair(train1.first.first, train2.first.second)] = trains[make_pair(train1.first.first, train2.first.second)] + "|(" + q + ")(" + p + ")";
}
} else {
if (s.size() > 1) {
trains[make_pair(train1.first.first, train2.first.second)] = "(" + q + ")(" + s + ")*(" + p + ")";
} else if (s.size() == 1) {
trains[make_pair(train1.first.first, train2.first.second)] = "(" + q + ")" + s + "*(" + p + ")";
} else {
trains[make_pair(train1.first.first, train2.first.second)] = "(" + q + ")(" + p + ")";
}
}
}
}
}
}
set<pair<string, string>> del;
d.delete_state(state);
for(auto train : trains) {
if (train.first.first == state || train.first.second == state) {
del.insert(train.first);
}
}
for(auto train : del) {
trains.erase(train);
}
return;
}
string x_initial(DFA d, map<pair<string, string>, string> trains) {
string initial = d.get_initial_state();
for(auto state : d.get_states()) {
if (state != initial) {
exclusion(d, state, trains);
}
}
if (trains.size() == 1) {
if (trains.begin()->second.size() == 1) {
return trains.begin()->second + "*";
} else {
return "(" + trains.begin()->second + ")*";
}
} else {
return "$";
}
}
string x_final(DFA d, map<pair<string, string>, string> trains, string & st) {
string initial = d.get_initial_state();
for(auto state : d.get_states()) {
if (state != st && state != initial) {
exclusion(d, state, trains);
}
}
string r = "", s = "", u = "", t = "";
if (trains.find(make_pair(initial, initial)) != trains.end()) {
r = trains[make_pair(initial, initial)];
}
if (trains.find(make_pair(st, st)) != trains.end()) {
u = trains[make_pair(st, st)];
}
if (trains.find(make_pair(initial, st)) != trains.end()) {
s = trains[make_pair(initial, st)];
}
if (trains.find(make_pair(st, initial)) != trains.end()) {
t = trains[make_pair(st, initial)];
}
// for(auto train : trains) {
// // cout << train.first.first << ' ' << train.first.second << ' ' << train.second << endl;
// if (train.first.first == initial && train.first.second == initial) {
// r = train.second;
// } else if (train.first.first == st && train.first.second == st) {
// u = train.second;
// } else if (train.first.first == initial && train.first.second == st) {
// s = train.second;
// } else {
// t = train.second;
// }
// }
// cout << r << "=r " << s << "=s " << u << "=u " << t << "=t " << endl;
if (s != "") {
if (r != "") {
if (u != "") {
if (t != "") {
return "(" + r + "|(" + s + ")(" + u + ")*(" + t + "))*(" + s + ")(" + u + ")*";
} else {
return "(" + r + ")*(" + s + ")(" + u + ")*";
}
} else {
if (t != "") {
return "(" + r + "|(" + s + ")(" + t + "))*(" + s + ")";
} else {
return "(" + r + ")*(" + s + ")";
}
}
} else {
if (u != "") {
if (t != "") {
return "((" + s + ")(" + u + ")*(" + t + "))*(" + s + ")(" + u + ")*";
} else {
return "(" + s + ")(" + u + ")*";
}
} else {
if (t != "") {
return "((" + s + ")(" + t + "))*(" + s + ")";
} else {
return "(" + s + ")";
}
}
}
} else {
return "";
}
// if (r == "") {
// if (s == "") {
// if (u == "") {
// if (t == "") {
// return "";
// } else {
// return "";
// }
// } else {
// if (t == "") {
// return "";
// } else {
// return "";
// }
// }
// } else {
// if (u == "") {
// if (t == "") {
// return "(" + s + ")";
// } else {
// return "((" + s + ")(" + t + "))*(" + s + ")";
// }
// } else {
// if (t == "") {
// return "(" + s + ")(" + u + ")*";
// } else {
// return "((" + s + ")(" + u + ")*(" + t + "))*(" + s + ")(" + u + ")*";
// }
// }
// }
// } else {
// if (s == "") {
// if (u == "") {
// if (t == "") {
// return "";
// } else {
// return "";
// }
// } else {
// if (t == "") {
// return "";
// } else {
// return "";
// }
// }
// } else {
// if (u == "") {
// if (t == "") {
// return "(" + r + ")*(" + s + ")";
// } else {
// return "(" + r + "|(" + s + ")(" + t + "))*(" + s + ")";
// }
// } else {
// if (t == "") {
// return "(" + r + ")*(" + s + ")(" + u + ")*";
// } else {
// return "(" + r + "|(" + s + ")(" + u + ")*(" + t + "))*(" + s + ")(" + u + ")*";
// }
// }
// }
// }
}
std::string dfa2re(DFA &d) {
map<pair<string, string>, string> trains;
// for(auto state : d.get_states()) {
// for(auto symbol : d.get_alphabet()) {
// string s(1, symbol);
// if (d.has_trans(state, symbol)) {
// trains.insert(make_pair(make_pair(state, d.get_trans(state, symbol)), s));
// }
// }
// }
set_trains_and_del_duplet(d, trains);
for(auto state : d.get_states()) {
if (!d.is_final(state) && d.get_initial_state() != state) {
exclusion(d, state, trains);
}
}
// for(auto train : trains) {
// cout << train.first.first << ' ' << train.first.second << ' ' << train.second << endl;
// }
string x_str = "";
set<string> x;
if (d.is_final(d.get_initial_state())) {
x_str = x_initial(d, trains);
}
for(auto state : d.get_states()) {
if (state != d.get_initial_state()) {
x.insert(x_final(d, trains, state));
}
}
if (x_str != "") {
if (x_str == "$") {
x_str = "";
}
for(auto xi : x) {
x_str = x_str + "|" + xi;
}
} else {
for(auto xi : x) {
if (x_str != "") {
x_str = x_str + "|" + xi;
} else {
x_str = x_str + xi;
}
}
}
return x_str;
}